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Finding the Fourth Proportional to 409,422.73, 614,324.31 and 156,619.65

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Solution

The fourth proportional to 409,422.73, 614,324.31 and 156,619.65 is: 235,002.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,422.73 : 614,324.31 = 156,619.65 : x
  2. Step 2: Convert to fraction form
    409,422.73/614,324.31 = 156,619.65/x
  3. Step 3: Cross multiply
    409,422.73x = 614,324.31 × 156,619.65
  4. Step 4: Simplify right side
    409,422.73x = 96,215,258,418.69
  5. Step 5: Solve for x
    x = 96,215,258,418.69/409,422.73
  6. Step 6: Final answer
    x = 235,002.24

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.